D) Some powers of the matrix
Matrix^2
30 x 30 sparse Matrix of class "dgCMatrix"
[1,] 6 1 . . 1 . 3 . 2 3 1 1 1 2 2 . 1 3 . 2 2 1 . 2 3 1 2 2 2 1
[2,] 1 7 1 . 2 . . 3 1 1 . . . 1 . 1 1 1 . 5 . 1 . 4 1 1 . . 1 2
[3,] . 1 5 1 . 2 . . . 1 1 2 1 1 . 2 1 . 1 1 2 . 1 1 . 2 2 2 2 .
[4,] . . 1 2 . 1 . . 1 . . 1 1 . 1 . . . . . 1 1 2 . . 1 . 2 . .
[5,] 1 2 . . 6 . 1 1 . 3 . 2 1 1 . 2 1 . 2 3 . 2 . 3 . . 1 . 1 3
[6,] . . 2 1 . 5 . 1 3 3 1 1 1 1 1 2 . . 1 . 1 1 1 . . 1 2 2 . 2
[7,] 3 . . . 1 . 5 2 1 2 . 2 2 1 4 . 2 1 1 2 1 . . . 1 . 1 1 2 .
[8,] . 3 . . 1 1 2 8 2 3 2 2 1 1 2 1 1 1 2 2 . . . 2 1 . . . . 2
[9,] 2 1 . 1 . 3 1 2 7 4 2 1 2 1 2 . 2 3 . 1 . 3 1 2 1 . 2 1 1 2
[10,] 3 1 1 . 3 3 2 3 4 10 2 3 1 4 1 1 . 1 3 2 . 2 . 3 2 1 2 . 1 4
[11,] 1 . 1 . . 1 . 2 2 2 6 1 . 2 . 1 2 3 2 1 1 1 . 2 2 . 1 2 . .
[12,] 1 . 2 1 2 1 2 2 1 3 1 9 2 . 2 2 1 3 4 . 3 3 1 2 1 3 3 3 4 2
[13,] 1 . 1 1 1 1 2 1 2 1 . 2 5 . 3 1 3 1 2 . . 2 1 . . . 2 1 2 .
[14,] 2 1 1 . 1 1 1 1 1 4 2 . . 5 . 1 1 . 1 2 . . . 1 1 2 . . . 1
[15,] 2 . . 1 . 1 4 2 2 1 . 2 3 . 5 . 2 1 1 1 1 1 1 . 1 . 1 2 2 .
[16,] . 1 2 . 2 2 . 1 . 1 1 2 1 1 . 5 1 . 2 1 1 2 . 1 . 1 1 1 1 2
[17,] 1 1 1 . 1 . 2 1 2 . 2 1 3 1 2 1 7 2 1 3 . 2 . 1 1 1 2 1 2 .
[18,] 3 1 . . . . 1 1 3 1 3 3 1 . 1 . 2 6 2 1 2 3 . 3 2 1 2 2 2 .
[19,] . . 1 . 2 1 1 2 . 3 2 4 2 1 1 2 1 2 6 . 1 3 . 2 1 1 . 1 1 .
[20,] 2 5 1 . 3 . 2 2 1 2 1 . . 2 1 1 3 1 . 8 . 1 . 4 2 1 . 1 1 2
[21,] 2 . 2 1 . 1 1 . . . 1 3 . . 1 1 . 2 1 . 5 1 1 . 1 3 2 5 2 .
[22,] 1 1 . 1 2 1 . . 3 2 1 3 2 . 1 2 2 3 3 1 1 7 1 3 1 1 . 2 2 1
[23,] . . 1 2 . 1 . . 1 . . 1 1 . 1 . . . . . 1 1 2 . . 1 . 2 . .
[24,] 2 4 1 . 3 . . 2 2 3 2 2 . 1 . 1 1 3 2 4 . 3 . 8 3 1 . . 1 3
[25,] 3 1 . . . . 1 1 1 2 2 1 . 1 1 . 1 2 1 2 1 1 . 3 5 1 . 2 1 1
[26,] 1 1 2 1 . 1 . . . 1 . 3 . 2 . 1 1 1 1 1 3 1 1 1 1 5 1 3 1 1
[27,] 2 . 2 . 1 2 1 . 2 2 1 3 2 . 1 1 2 2 . . 2 . . . . 1 6 2 3 2
[28,] 2 . 2 2 . 2 1 . 1 . 2 3 1 . 2 1 1 2 1 1 5 2 2 . 2 3 2 7 2 .
[29,] 2 1 2 . 1 . 2 . 1 1 . 4 2 . 2 1 2 2 1 1 2 2 . 1 1 1 3 2 7 2
[30,] 1 2 . . 3 2 . 2 2 4 . 2 . 1 . 2 . . . 2 . 1 . 3 1 1 2 . 2 7
Matrix^5
30 x 30 sparse Matrix of class "dgCMatrix"
[1,] 474 345 312 104 482 350 368 419 505 808 321 789 366 305 348 370
[2,] 345 156 377 198 199 310 256 201 314 395 273 709 297 168 312 288
[3,] 312 377 194 55 292 155 224 299 291 429 237 331 177 260 192 209
[4,] 104 198 55 12 135 64 91 205 133 202 97 129 64 97 80 85
[5,] 482 199 292 135 218 275 321 257 433 491 382 639 302 215 341 240
[6,] 350 310 155 64 275 164 356 385 358 450 244 400 289 216 342 184
[7,] 368 256 224 91 321 356 258 354 504 701 289 511 272 277 264 264
[8,] 419 201 299 205 257 385 354 326 560 568 329 676 437 204 444 286
[9,] 505 314 291 133 433 358 504 560 570 833 389 838 481 322 508 348
[10,] 808 395 429 202 491 450 701 568 833 948 534 1124 698 360 733 417
[11,] 321 273 237 97 382 244 289 329 389 534 290 597 363 215 304 327
[12,] 789 709 331 129 639 400 511 676 838 1124 597 862 436 507 481 418
[13,] 366 297 177 64 302 289 272 437 481 698 363 436 234 328 254 228
[14,] 305 168 260 97 215 216 277 204 322 360 215 507 328 144 299 226
[15,] 348 312 192 80 341 342 264 444 508 733 304 481 254 299 264 262
[16,] 370 288 209 85 240 184 264 286 348 417 327 418 228 226 262 204
[17,] 378 289 326 107 370 386 275 414 468 767 409 624 295 368 266 368
[18,] 469 409 287 109 535 329 348 483 532 859 401 809 366 338 334 396
[19,] 466 366 228 103 352 271 311 403 574 643 445 603 343 274 332 279
[20,] 454 232 485 212 318 442 336 309 453 617 377 905 395 258 385 422
[21,] 342 514 170 33 456 172 217 398 350 589 241 389 163 278 168 266
[22,] 516 417 289 108 432 303 378 545 557 789 508 801 355 330 374 350
[23,] 104 198 55 12 135 64 91 205 133 202 97 129 64 97 80 85
[24,] 581 300 447 215 400 388 433 385 553 705 465 1072 479 267 482 427
[25,] 336 262 263 104 358 267 260 299 376 546 253 660 305 193 275 323
[26,] 344 438 235 62 353 172 234 329 323 478 247 435 201 236 209 250
[27,] 503 410 206 59 444 249 387 431 459 768 321 509 274 382 319 267
[28,] 423 634 243 54 575 263 301 568 468 782 340 555 246 363 250 377
[29,] 569 465 271 87 473 327 354 471 550 896 411 641 265 432 303 325
[30,] 568 240 297 152 267 266 460 313 451 542 333 713 383 232 473 245
[1,] 378 469 466 454 342 516 104 581 336 344 503 423 569 568
[2,] 289 409 366 232 514 417 198 300 262 438 410 634 465 240
[3,] 326 287 228 485 170 289 55 447 263 235 206 243 271 297
[4,] 107 109 103 212 33 108 12 215 104 62 59 54 87 152
[5,] 370 535 352 318 456 432 135 400 358 353 444 575 473 267
[6,] 386 329 271 442 172 303 64 388 267 172 249 263 327 266
[7,] 275 348 311 336 217 378 91 433 260 234 387 301 354 460
[8,] 414 483 403 309 398 545 205 385 299 329 431 568 471 313
[9,] 468 532 574 453 350 557 133 553 376 323 459 468 550 451
[10,] 767 859 643 617 589 789 202 705 546 478 768 782 896 542
[11,] 409 401 445 377 241 508 97 465 253 247 321 340 411 333
[12,] 624 809 603 905 389 801 129 1072 660 435 509 555 641 713
[13,] 295 366 343 395 163 355 64 479 305 201 274 246 265 383
[14,] 368 338 274 258 278 330 97 267 193 236 382 363 432 232
[15,] 266 334 332 385 168 374 80 482 275 209 319 250 303 473
[16,] 368 396 279 422 266 350 85 427 323 250 267 377 325 245
[17,] 332 401 474 397 295 453 107 511 316 326 372 392 370 429
[18,] 401 542 589 521 314 644 109 728 397 347 395 411 504 540
[19,] 474 589 434 488 280 580 103 636 399 275 362 410 433 377
[20,] 397 521 488 332 603 534 212 426 330 524 580 739 611 402
[21,] 295 314 280 603 118 370 33 649 307 208 211 176 301 484
[22,] 453 644 580 534 370 610 108 737 475 358 399 486 502 458
[23,] 107 109 103 212 33 108 12 215 104 62 59 54 87 152
[24,] 511 728 636 426 649 737 215 610 455 550 588 804 733 420
[25,] 316 397 399 330 307 475 104 455 258 296 373 385 470 405
[26,] 326 347 275 524 208 358 62 550 296 250 258 278 365 372
[27,] 372 395 362 580 211 399 59 588 373 258 322 293 385 463
[28,] 392 411 410 739 176 486 54 804 385 278 293 256 396 618
[29,] 370 504 433 611 301 502 87 733 470 365 385 396 446 575
[30,] 429 540 377 402 484 458 152 420 405 372 463 618 575 300
Matrix^15
30 x 30 sparse Matrix of class "dgCMatrix"
[1,] 72118205790 54352544364 43836728641 17994462569 59474601910
[2,] 54352544364 40335196498 33325978240 13801650295 44382822339
[3,] 43836728641 33325978240 26518368688 10835263403 36295657186
[4,] 17994462569 13801650295 10835263403 4404717698 14985128733
[5,] 59474601910 44382822339 36295657186 14985128733 48697978194
[6,] 47325236414 35781883233 28662310425 11748214669 39054602321
[7,] 54818954800 41390322666 33272478497 13643971580 45256718151
[8,] 63492844622 47396822766 38744195915 15995919140 52027719896
[9,] 76876702780 57808620468 46732246540 19210418936 63295362464
[10,] 105854153738 79240481609 64458522786 26566208823 86863649104
[11,] 56471939980 42528649324 34332945580 14103718074 46541268403
[12,] 104058647790 78914929176 62980493224 25768751012 86053906999
[13,] 53155663820 40319418807 32164467852 13156344471 43986588720
[14,] 45382237059 33880586086 27698591447 11432590814 37187988283
[15,] 54928574024 41653437690 33261754807 13606707920 45465922079
[16,] 48709593706 36708677112 29574775170 12145339205 40108089295
[17,] 63289085095 47750943044 38457828716 15777651658 52228088577
[18,] 76625299858 57928430612 46502969529 19058842340 63305628840
[19,] 67047138557 50599025289 40673450072 16690089355 55282889541
[20,] 73086885987 54438045746 44728224058 18484199057 59829486467
[21,] 51993913586 39826504134 31347725794 12751385141 43272710208
[22,] 78164888644 58987646917 47447979639 19467765737 64469815916
[23,] 17994462569 13801650295 10835263403 4404717698 14985128733
[24,] 87353354673 65194527888 53359617687 22029673130 71574060151
[25,] 56671183396 42593271421 34510283951 14190510817 46657337180
[26,] 50806211397 38594154713 30760312215 12574082331 42057524375
[27,] 62739989064 47645235305 37944041137 15509032130 51939685759
[28,] 69116273892 52824871581 41721499360 16993101981 57456179086
[29,] 73991533968 56121974736 44803921234 18326010245 61216423388
[30,] 66300094770 49495257279 40434328335 16690258043 54293978726
[1,] 47325236414 54818954800 63492844622 76876702780 105854153738
[2,] 35781883233 41390322666 47396822766 57808620468 79240481609
[3,] 28662310425 33272478497 38744195915 46732246540 64458522786
[4,] 11748214669 13643971580 15995919140 19210418936 26566208823
[5,] 39054602321 45256718151 52027719896 63295362464 86863649104
[6,] 30963510296 35974017453 41726566122 50442059957 69456136431
[7,] 35974017453 41654730940 48333809935 58475979546 80561770884
[8,] 41726566122 48333809935 55595166344 67619371833 92811711252
[9,] 50442059957 58475979546 67619371833 81941888228 112728868826
[10,] 69456136431 80561770884 92811711252 112728868826 154828511500
[11,] 37044169298 42939770370 49693669835 60190845448 82828135482
[12,] 68091085779 79006220777 91888802528 110957673654 152959060658
[13,] 34820917083 40363461064 46989436980 56723280168 78230006845
[14,] 29809334648 34553850704 39723715821 48311355248 66308014298
[15,] 36009939971 41714307269 48557581921 58624211843 80861969636
[16,] 31897778776 37016533459 42840504475 51882862147 71377079285
[17,] 41545552586 48088996257 55770481299 67491705620 92969628721
[18,] 50240070230 58212119444 67579186178 81708931865 112592052044
[19,] 43918520921 50945530010 59049044586 71466551260 98369402827
[20,] 48093953217 55632984337 63887124126 77785914918 106747668090
[21,] 33961808110 39417821464 46164405124 55487742842 76719113985
[22,] 51227127029 59392441223 68849856951 83315105282 114713649640
[23,] 11748214669 13643971580 15995919140 19210418936 26566208823
[24,] 57401899292 66478707311 76435500254 92977526146 127628888099
[25,] 37209723508 43092473403 49804852821 60384943563 83071465586
[26,] 33233758309 38565295259 44882641417 54157766899 74691137459
[27,] 41052471167 47636893559 55461326271 66915001359 92303867304
[28,] 45184179951 52421718737 61307296022 73758170196 101925604334
[29,] 48451397943 56169319779 65355811791 78907058539 108823969049
[30,] 43510650887 50465253616 58010892974 70552012509 96823599374
[1,] 56471939980 104058647790 53155663820 45382237059 54928574024
[2,] 42528649324 78914929176 40319418807 33880586086 41653437690
[3,] 34332945580 62980493224 32164467852 27698591447 33261754807
[4,] 14103718074 25768751012 13156344471 11432590814 13606707920
[5,] 46541268403 86053906999 43986588720 37187988283 45465922079
[6,] 37044169298 68091085779 34820917083 29809334648 36009939971
[7,] 42939770370 79006220777 40363461064 34553850704 41714307269
[8,] 49693669835 91888802528 46989436980 39723715821 48557581921
[9,] 60190845448 110957673654 56723280168 48311355248 58624211843
[10,] 82828135482 152959060658 78230006845 66308014298 80861969636
[11,] 44224214332 81507795954 41653140775 35504095317 43040417595
[12,] 81507795954 149623357088 76430883381 65682941238 79027225717
[13,] 41653140775 76430883381 39047153264 33591026068 40368174463
[14,] 35504095317 65682941238 33591026068 28380547854 34712028279
[15,] 43040417595 79027225717 40368174463 34712028279 41724840098
[16,] 38134808288 70192944294 35870824171 30620630147 37090836665
[17,] 49588551160 91285021955 46618276387 39873229580 48172693533
[18,] 60029840937 110438526907 56400517776 48300117823 58284155161
[19,] 52511936930 96592951927 49363213586 42197715818 51030102249
[20,] 57202089756 105970818334 54138917562 45669824820 55929500872
[21,] 40745531396 74522651700 38031739755 33005231969 39325347818
[22,] 61226983571 112666979129 57554904286 49205161822 59491748764
[23,] 14103718074 25768751012 13156344471 11432590814 13606707920
[24,] 68370237529 126506899364 64644532029 54623908969 66794805606
[25,] 44373965658 81886148952 41829032739 35593374298 43216931645
[26,] 39790773078 73048840368 37298863444 32084439287 38563943627
[27,] 49137872246 90159220901 46058409145 39647596899 47625440367
[28,] 54164051352 99165921119 50616516879 43827164563 52331377546
[29,] 57963241957 106418960962 54339421890 46731611807 56179204908
[30,] 51862657690 95888712622 49032568198 41454848063 50689269617
[1,] 48709593706 63289085095 76625299858 67047138557 73086885987
[2,] 36708677112 47750943044 57928430612 50599025289 54438045746
[3,] 29574775170 38457828716 46502969529 40673450072 44728224058
[4,] 12145339205 15777651658 19058842340 16690089355 18484199057
[5,] 40108089295 52228088577 63305628840 55282889541 59829486467
[6,] 31897778776 41545552586 50240070230 43918520921 48093953217
[7,] 37016533459 48088996257 58212119444 50945530010 55632984337
[8,] 42840504475 55770481299 67579186178 59049044586 63887124126
[9,] 51882862147 67491705620 81708931865 71466551260 77785914918
[10,] 71377079285 92969628721 112592052044 98369402827 106747668090
[11,] 38134808288 49588551160 60029840937 52511936930 57202089756
[12,] 70192944294 91285021955 110438526907 96592951927 105970818334
[13,] 35870824171 46618276387 56400517776 49363213586 54138917562
[14,] 30620630147 39873229580 48300117823 42197715818 45669824820
[15,] 37090836665 48172693533 58284155161 51030102249 55929500872
[16,] 32840955628 42757530269 51756818534 45222857396 49372173692
[17,] 42757530269 55528216560 67237199336 58849691274 64191373146
[18,] 51756818534 67237199336 81391367694 71234530122 77836711654
[19,] 45222857396 58849691274 71234530122 62275757404 68026510273
[20,] 49372173692 64191373146 77836711654 68026510273 73405920332
[21,] 35107784362 45584550664 55087378439 48238356659 53350863880
[22,] 52752615499 68598502160 83051663261 72636263776 79299486052
[23,] 12145339205 15777651658 19058842340 16690089355 18484199057
[24,] 58970546573 76725466532 93007930256 81269667874 87873468569
[25,] 38285339766 49753369420 60260767921 52713806985 57310413125
[26,] 34291770445 44575201838 53913261169 47160645037 51804361969
[27,] 42325526388 55027383474 66548800483 58229026235 63962236813
[28,] 46677828435 60607374404 73259612494 64153235848 70799567139
[29,] 49939032580 64887224392 78516243304 68702487592 75355178619
[30,] 44692696508 58229680976 70551533734 61604512908 66721206167
[1,] 51993913586 78164888644 17994462569 87353354673 56671183396
[2,] 39826504134 58987646917 13801650295 65194527888 42593271421
[3,] 31347725794 47447979639 10835263403 53359617687 34510283951
[4,] 12751385141 19467765737 4404717698 22029673130 14190510817
[5,] 43272710208 64469815916 14985128733 71574060151 46657337180
[6,] 33961808110 51227127029 11748214669 57401899292 37209723508
[7,] 39417821464 59392441223 13643971580 66478707311 43092473403
[8,] 46164405124 68849856951 15995919140 76435500254 49804852821
[9,] 55487742842 83315105282 19210418936 92977526146 60384943563
[10,] 76719113985 114713649640 26566208823 127628888099 83071465586
[11,] 40745531396 61226983571 14103718074 68370237529 44373965658
[12,] 74522651700 112666979129 25768751012 126506899364 81886148952
[13,] 38031739755 57554904286 13156344471 64644532029 41829032739
[14,] 33005231969 49205161822 11432590814 54623908969 35593374298
[15,] 39325347818 59491748764 13606707920 66794805606 43216931645
[16,] 35107784362 52752615499 12145339205 58970546573 38285339766
[17,] 45584550664 68598502160 15777651658 76725466532 49753369420
[18,] 55087378439 83051663261 19058842340 93007930256 60260767921
[19,] 48238356659 72636263776 16690089355 81269667874 52713806985
[20,] 53350863880 79299486052 18484199057 87873468569 57310413125
[21,] 36917156960 56269761054 12751385141 63607641490 40992347085
[22,] 56269761054 84699559538 19467765737 94755882016 61456601370
[23,] 12751385141 19467765737 4404717698 22029673130 14190510817
[24,] 63607641490 94755882016 22029673130 105157185886 68529425667
[25,] 40992347085 61456601370 14190510817 68529425667 44512882046
[26,] 36376654859 55013159007 12574082331 61820979109 39991069338
[27,] 44855455341 67907268307 15509032130 76332861157 49376336004
[28,] 49178890155 74822246173 16993101981 84443053248 54467614260
[29,] 52997684667 80117214892 18326010245 89971906922 58226170963
[30,] 48199865803 71845480992 16690258043 79789291999 52007300193
[1,] 50806211397 62739989064 69116273892 73991533968 66300094770
[2,] 38594154713 47645235305 52824871581 56121974736 49495257279
[3,] 30760312215 37944041137 41721499360 44803921234 40434328335
[4,] 12574082331 15509032130 16993101981 18326010245 16690258043
[5,] 42057524375 51939685759 57456179086 61216423388 54293978726
[6,] 33233758309 41052471167 45184179951 48451397943 43510650887
[7,] 38565295259 47636893559 52421718737 56169319779 50465253616
[8,] 44882641417 55461326271 61307296022 65355811791 58010892974
[9,] 54157766899 66915001359 73758170196 78907058539 70552012509
[10,] 74691137459 92303867304 101925604334 108823969049 96823599374
[11,] 39790773078 49137872246 54164051352 57963241957 51862657690
[12,] 73048840368 90159220901 99165921119 106418960962 95888712622
[13,] 37298863444 46058409145 50616516879 54339421890 49032568198
[14,] 32084439287 39647596899 43827164563 46731611807 41454848063
[15,] 38563943627 47625440367 52331377546 56179204908 50689269617
[16,] 34291770445 42325526388 46677828435 49939032580 44692696508
[17,] 44575201838 55027383474 60607374404 64887224392 58229680976
[18,] 53913261169 66548800483 73259612494 78516243304 70551533734
[19,] 47160645037 58229026235 64153235848 68702487592 61604512908
[20,] 51804361969 63962236813 70799567139 75355178619 66721206167
[21,] 36376654859 44855455341 49178890155 52997684667 48199865803
[22,] 55013159007 67907268307 74822246173 80117214892 71845480992
[23,] 12574082331 15509032130 16993101981 18326010245 16690258043
[24,] 61820979109 76332861157 84443053248 89971906922 79789291999
[25,] 39991069338 49376336004 54467614260 58226170963 52007300193
[26,] 35677952100 44007750124 48403798904 51962395508 46853399799
[27,] 44007750124 54328033928 59700271047 64124595334 57879636058
[28,] 48403798904 59700271047 65495036128 70515840499 64006103947
[29,] 51962395508 64124595334 70515840499 75672206978 68229285112
[30,] 46853399799 57879636058 64006103947 68229285112 60523427564
Matrix^30
30 x 30 sparse Matrix of class "dgCMatrix"
[1,] 1.254795e+23 9.454107e+22 7.623880e+22 3.130733e+22 1.033983e+23
[2,] 9.454107e+22 7.123507e+22 5.743951e+22 2.358664e+22 7.790705e+22
[3,] 7.623880e+22 5.743951e+22 4.632189e+22 1.902232e+22 6.282160e+22
[4,] 3.130733e+22 2.358664e+22 1.902232e+22 7.811764e+21 2.579705e+22
[5,] 1.033983e+23 7.790705e+22 6.282160e+22 2.579705e+22 8.520474e+22
[6,] 8.227799e+22 6.199057e+22 4.999079e+22 2.052878e+22 6.779865e+22
[7,] 9.537673e+22 7.185985e+22 5.794922e+22 2.379686e+22 7.859245e+22
[8,] 1.104200e+23 8.319749e+22 6.708781e+22 2.754896e+22 9.099080e+22
[9,] 1.337235e+23 1.007531e+23 8.124742e+22 3.336398e+22 1.101920e+23
[10,] 1.840435e+23 1.386686e+23 1.118198e+23 4.591798e+22 1.516587e+23
[11,] 9.825466e+22 7.402909e+22 5.969744e+22 2.451460e+22 8.096454e+22
[12,] 1.809724e+23 1.363484e+23 1.099565e+23 4.515405e+22 1.491238e+23
[13,] 9.246734e+22 6.966660e+22 5.618204e+22 2.307140e+22 7.619425e+22
[14,] 7.891898e+22 5.946265e+22 4.794872e+22 1.968967e+22 6.503264e+22
[15,] 9.557574e+22 7.200864e+22 5.807062e+22 2.384693e+22 7.875568e+22
[16,] 8.468550e+22 6.380534e+22 5.145320e+22 2.112916e+22 6.978306e+22
[17,] 1.101338e+23 8.297866e+22 6.691521e+22 2.747868e+22 9.075284e+22
[18,] 1.333355e+23 1.004590e+23 8.101243e+22 3.326782e+22 1.098712e+23
[19,] 1.165995e+23 8.785007e+22 7.084374e+22 2.909195e+22 9.608070e+22
[20,] 1.271475e+23 9.580209e+22 7.725046e+22 3.172196e+22 1.047756e+23
[21,] 9.046767e+22 6.815789e+22 5.496796e+22 2.257323e+22 7.454509e+22
[22,] 1.359648e+23 1.024406e+23 8.260969e+22 3.392362e+22 1.120382e+23
[23,] 3.130733e+22 2.358664e+22 1.902232e+22 7.811764e+21 2.579705e+22
[24,] 1.519363e+23 1.144789e+23 9.231171e+22 3.790684e+22 1.252023e+23
[25,] 9.860985e+22 7.429730e+22 5.991299e+22 2.460300e+22 8.125761e+22
[26,] 8.837514e+22 6.658347e+22 5.369569e+22 2.205037e+22 7.282224e+22
[27,] 1.091174e+23 8.221083e+22 6.629853e+22 2.722583e+22 8.991396e+22
[28,] 1.202696e+23 9.061119e+22 7.307522e+22 3.000906e+22 9.910223e+22
[29,] 1.287064e+23 9.697001e+22 7.820038e+22 3.211328e+22 1.060558e+23
[30,] 1.152456e+23 8.683338e+22 7.001968e+22 2.875290e+22 9.496729e+22
[1,] 8.227799e+22 9.537673e+22 1.104200e+23 1.337235e+23 1.840435e+23
[2,] 6.199057e+22 7.185985e+22 8.319749e+22 1.007531e+23 1.386686e+23
[3,] 4.999079e+22 5.794922e+22 6.708781e+22 8.124742e+22 1.118198e+23
[4,] 2.052878e+22 2.379686e+22 2.754896e+22 3.336398e+22 4.591798e+22
[5,] 6.779865e+22 7.859245e+22 9.099080e+22 1.101920e+23 1.516587e+23
[6,] 5.395057e+22 6.253946e+22 7.240282e+22 8.768353e+22 1.206783e+23
[7,] 6.253946e+22 7.249577e+22 8.392963e+22 1.016429e+23 1.398906e+23
[8,] 7.240282e+22 8.392963e+22 9.716981e+22 1.176751e+23 1.619576e+23
[9,] 8.768353e+22 1.016429e+23 1.176751e+23 1.425092e+23 1.961356e+23
[10,] 1.206783e+23 1.398906e+23 1.619576e+23 1.961356e+23 2.699430e+23
[11,] 6.442638e+22 7.468314e+22 8.646276e+22 1.047100e+23 1.441124e+23
[12,] 1.186658e+23 1.375573e+23 1.592508e+23 1.928618e+23 2.654337e+23
[13,] 6.063199e+22 7.028452e+22 8.136860e+22 9.854215e+22 1.356224e+23
[14,] 5.174746e+22 5.998585e+22 6.944887e+22 8.410428e+22 1.157537e+23
[15,] 6.267018e+22 7.264721e+22 8.410398e+22 1.018548e+23 1.401816e+23
[16,] 5.552902e+22 6.436927e+22 7.452196e+22 9.024934e+22 1.242101e+23
[17,] 7.221574e+22 8.371255e+22 9.691580e+22 1.173695e+23 1.615353e+23
[18,] 8.742947e+22 1.013483e+23 1.173325e+23 1.420955e+23 1.955652e+23
[19,] 7.645544e+22 8.862716e+22 1.026055e+23 1.242601e+23 1.710187e+23
[20,] 8.337086e+22 9.664391e+22 1.118907e+23 1.355017e+23 1.864932e+23
[21,] 5.932120e+22 6.876488e+22 7.960752e+22 9.641077e+22 1.326879e+23
[22,] 8.915341e+22 1.033467e+23 1.196466e+23 1.448976e+23 1.994221e+23
[23,] 2.052878e+22 2.379686e+22 2.754896e+22 3.336398e+22 4.591798e+22
[24,] 9.962515e+22 1.154859e+23 1.337045e+23 1.619192e+23 2.228515e+23
[25,] 6.465915e+22 7.495302e+22 8.677571e+22 1.050886e+23 1.446338e+23
[26,] 5.794870e+22 6.717403e+22 7.776758e+22 9.418111e+22 1.296204e+23
[27,] 7.154971e+22 8.294029e+22 9.602003e+22 1.162860e+23 1.600430e+23
[28,] 7.886266e+22 9.141733e+22 1.058323e+23 1.281705e+23 1.763985e+23
[29,] 8.439436e+22 9.782984e+22 1.132581e+23 1.371620e+23 1.887746e+23
[30,] 7.556697e+22 8.759750e+22 1.014163e+23 1.228177e+23 1.690354e+23
[1,] 9.825466e+22 1.809724e+23 9.246734e+22 7.891898e+22 9.557574e+22
[2,] 7.402909e+22 1.363484e+23 6.966660e+22 5.946265e+22 7.200864e+22
[3,] 5.969744e+22 1.099565e+23 5.618204e+22 4.794872e+22 5.807062e+22
[4,] 2.451460e+22 4.515405e+22 2.307140e+22 1.968967e+22 2.384693e+22
[5,] 8.096454e+22 1.491238e+23 7.619425e+22 6.503264e+22 7.875568e+22
[6,] 6.442638e+22 1.186658e+23 6.063199e+22 5.174746e+22 6.267018e+22
[7,] 7.468314e+22 1.375573e+23 7.028452e+22 5.998585e+22 7.264721e+22
[8,] 8.646276e+22 1.592508e+23 8.136860e+22 6.944887e+22 8.410398e+22
[9,] 1.047100e+23 1.928618e+23 9.854215e+22 8.410428e+22 1.018548e+23
[10,] 1.441124e+23 2.654337e+23 1.356224e+23 1.157537e+23 1.401816e+23
[11,] 7.693672e+22 1.417073e+23 7.240491e+22 6.179634e+22 7.483890e+22
[12,] 1.417073e+23 2.610094e+23 1.333621e+23 1.138191e+23 1.378452e+23
[13,] 7.240491e+22 1.333621e+23 6.814109e+22 5.815543e+22 7.043169e+22
[14,] 6.179634e+22 1.138191e+23 5.815543e+22 4.963626e+22 6.011044e+22
[15,] 7.483890e+22 1.378452e+23 7.043169e+22 6.011044e+22 7.279929e+22
[16,] 6.631160e+22 1.221374e+23 6.240574e+22 5.326205e+22 6.450358e+22
[17,] 8.623844e+22 1.588404e+23 8.115907e+22 6.926728e+22 8.388732e+22
[18,] 1.044061e+23 1.923036e+23 9.825703e+22 8.385940e+22 1.015600e+23
[19,] 9.130133e+22 1.681657e+23 8.592381e+22 7.333378e+22 8.881223e+22
[20,] 9.956102e+22 1.833748e+23 9.369461e+22 7.997015e+22 9.684438e+22
[21,] 7.083898e+22 1.304797e+23 6.666842e+22 5.689673e+22 6.890945e+22
[22,] 1.064650e+23 1.960952e+23 1.001943e+23 8.551336e+22 1.035625e+23
[23,] 2.451460e+22 4.515405e+22 2.307140e+22 1.968967e+22 2.384693e+22
[24,] 1.189715e+23 2.191265e+23 1.119618e+23 9.556080e+22 1.157257e+23
[25,] 7.721487e+22 1.422191e+23 7.266639e+22 6.202001e+22 7.510918e+22
[26,] 6.920060e+22 1.274601e+23 6.512546e+22 5.558173e+22 6.731469e+22
[27,] 8.544245e+22 1.573761e+23 8.041097e+22 6.862703e+22 8.311402e+22
[28,] 9.417482e+22 1.734618e+23 8.863004e+22 7.564002e+22 9.160932e+22
[29,] 1.007813e+23 1.856282e+23 9.484630e+22 8.094735e+22 9.803461e+22
[30,] 9.024135e+22 1.662104e+23 8.492455e+22 7.248392e+22 8.777947e+22
[1,] 8.468550e+22 1.101338e+23 1.333355e+23 1.165995e+23 1.271475e+23
[2,] 6.380534e+22 8.297866e+22 1.004590e+23 8.785007e+22 9.580209e+22
[3,] 5.145320e+22 6.691521e+22 8.101243e+22 7.084374e+22 7.725046e+22
[4,] 2.112916e+22 2.747868e+22 3.326782e+22 2.909195e+22 3.172196e+22
[5,] 6.978306e+22 9.075284e+22 1.098712e+23 9.608070e+22 1.047756e+23
[6,] 5.552902e+22 7.221574e+22 8.742947e+22 7.645544e+22 8.337086e+22
[7,] 6.436927e+22 8.371255e+22 1.013483e+23 8.862716e+22 9.664391e+22
[8,] 7.452196e+22 9.691580e+22 1.173325e+23 1.026055e+23 1.118907e+23
[9,] 9.024934e+22 1.173695e+23 1.420955e+23 1.242601e+23 1.355017e+23
[10,] 1.242101e+23 1.615353e+23 1.955652e+23 1.710187e+23 1.864932e+23
[11,] 6.631160e+22 8.623844e+22 1.044061e+23 9.130133e+22 9.956102e+22
[12,] 1.221374e+23 1.588404e+23 1.923036e+23 1.681657e+23 1.833748e+23
[13,] 6.240574e+22 8.115907e+22 9.825703e+22 8.592381e+22 9.369461e+22
[14,] 5.326205e+22 6.926728e+22 8.385940e+22 7.333378e+22 7.997015e+22
[15,] 6.450358e+22 8.388732e+22 1.015600e+23 8.881223e+22 9.684438e+22
[16,] 5.715385e+22 7.432875e+22 8.998749e+22 7.869247e+22 8.581124e+22
[17,] 7.432875e+22 9.666486e+22 1.170292e+23 1.023399e+23 1.115974e+23
[18,] 8.998749e+22 1.170292e+23 1.416837e+23 1.238998e+23 1.351068e+23
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[20,] 8.581124e+22 1.115974e+23 1.351068e+23 1.181490e+23 1.288420e+23
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[22,] 9.176200e+22 1.193368e+23 1.444775e+23 1.263429e+23 1.377717e+23
[23,] 2.112916e+22 2.747868e+22 3.326782e+22 2.909195e+22 3.172196e+22
[24,] 1.025411e+23 1.333547e+23 1.614477e+23 1.411836e+23 1.539603e+23
[25,] 6.655130e+22 8.655013e+22 1.047834e+23 9.163130e+22 9.992153e+22
[26,] 5.964395e+22 7.756732e+22 9.390861e+22 8.212122e+22 8.954811e+22
[27,] 7.364280e+22 9.577294e+22 1.159497e+23 1.013957e+23 1.105654e+23
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[29,] 8.686331e+22 1.129663e+23 1.367651e+23 1.195984e+23 1.304149e+23
[30,] 7.777872e+22 1.011512e+23 1.224601e+23 1.070895e+23 1.167805e+23
[1,] 9.046767e+22 1.359648e+23 3.130733e+22 1.519363e+23 9.860985e+22
[2,] 6.815789e+22 1.024406e+23 2.358664e+22 1.144789e+23 7.429730e+22
[3,] 5.496796e+22 8.260969e+22 1.902232e+22 9.231171e+22 5.991299e+22
[4,] 2.257323e+22 3.392362e+22 7.811764e+21 3.790684e+22 2.460300e+22
[5,] 7.454509e+22 1.120382e+23 2.579705e+22 1.252023e+23 8.125761e+22
[6,] 5.932120e+22 8.915341e+22 2.052878e+22 9.962515e+22 6.465915e+22
[7,] 6.876488e+22 1.033467e+23 2.379686e+22 1.154859e+23 7.495302e+22
[8,] 7.960752e+22 1.196466e+23 2.754896e+22 1.337045e+23 8.677571e+22
[9,] 9.641077e+22 1.448976e+23 3.336398e+22 1.619192e+23 1.050886e+23
[10,] 1.326879e+23 1.994221e+23 4.591798e+22 2.228515e+23 1.446338e+23
[11,] 7.083898e+22 1.064650e+23 2.451460e+22 1.189715e+23 7.721487e+22
[12,] 1.304797e+23 1.960952e+23 4.515405e+22 2.191265e+23 1.422191e+23
[13,] 6.666842e+22 1.001943e+23 2.307140e+22 1.119618e+23 7.266639e+22
[14,] 5.689673e+22 8.551336e+22 1.968967e+22 9.556080e+22 6.202001e+22
[15,] 6.890945e+22 1.035625e+23 2.384693e+22 1.157257e+23 7.510918e+22
[16,] 6.105617e+22 9.176200e+22 2.112916e+22 1.025411e+23 6.655130e+22
[17,] 7.940413e+22 1.193368e+23 2.747868e+22 1.333547e+23 8.655013e+22
[18,] 9.613271e+22 1.444775e+23 3.326782e+22 1.614477e+23 1.047834e+23
[19,] 8.406591e+22 1.263429e+23 2.909195e+22 1.411836e+23 9.163130e+22
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[22,] 9.802781e+22 1.473264e+23 3.392362e+22 1.646319e+23 1.068498e+23
[23,] 2.257323e+22 3.392362e+22 7.811764e+21 3.790684e+22 2.460300e+22
[24,] 1.095385e+23 1.646319e+23 3.790684e+22 1.839758e+23 1.194022e+23
[25,] 7.109450e+22 1.068498e+23 2.460300e+22 1.194022e+23 7.749412e+22
[26,] 6.371800e+22 9.576017e+22 2.205037e+22 1.070069e+23 6.945050e+22
[27,] 7.867326e+22 1.182358e+23 2.722583e+22 1.321219e+23 8.575097e+22
[28,] 8.671566e+22 1.303201e+23 3.000906e+22 1.456234e+23 9.451462e+22
[29,] 9.279638e+22 1.394617e+23 3.211328e+22 1.558413e+23 1.011453e+23
[30,] 8.308651e+22 1.248754e+23 2.875290e+22 1.395476e+23 9.056797e+22
[1,] 8.837514e+22 1.091174e+23 1.202696e+23 1.287064e+23 1.152456e+23
[2,] 6.658347e+22 8.221083e+22 9.061119e+22 9.697001e+22 8.683338e+22
[3,] 5.369569e+22 6.629853e+22 7.307522e+22 7.820038e+22 7.001968e+22
[4,] 2.205037e+22 2.722583e+22 3.000906e+22 3.211328e+22 2.875290e+22
[5,] 7.282224e+22 8.991396e+22 9.910223e+22 1.060558e+23 9.496729e+22
[6,] 5.794870e+22 7.154971e+22 7.886266e+22 8.439436e+22 7.556697e+22
[7,] 6.717403e+22 8.294029e+22 9.141733e+22 9.782984e+22 8.759750e+22
[8,] 7.776758e+22 9.602003e+22 1.058323e+23 1.132581e+23 1.014163e+23
[9,] 9.418111e+22 1.162860e+23 1.281705e+23 1.371620e+23 1.228177e+23
[10,] 1.296204e+23 1.600430e+23 1.763985e+23 1.887746e+23 1.690354e+23
[11,] 6.920060e+22 8.544245e+22 9.417482e+22 1.007813e+23 9.024135e+22
[12,] 1.274601e+23 1.573761e+23 1.734618e+23 1.856282e+23 1.662104e+23
[13,] 6.512546e+22 8.041097e+22 8.863004e+22 9.484630e+22 8.492455e+22
[14,] 5.558173e+22 6.862703e+22 7.564002e+22 8.094735e+22 7.248392e+22
[15,] 6.731469e+22 8.311402e+22 9.160932e+22 9.803461e+22 8.777947e+22
[16,] 5.964395e+22 7.364280e+22 8.116931e+22 8.686331e+22 7.777872e+22
[17,] 7.756732e+22 9.577294e+22 1.055614e+23 1.129663e+23 1.011512e+23
[18,] 9.390861e+22 1.159497e+23 1.278006e+23 1.367651e+23 1.224601e+23
[19,] 8.212122e+22 1.013957e+23 1.117588e+23 1.195984e+23 1.070895e+23
[20,] 8.954811e+22 1.105654e+23 1.218637e+23 1.304149e+23 1.167805e+23
[21,] 6.371800e+22 7.867326e+22 8.671566e+22 9.279638e+22 8.308651e+22
[22,] 9.576017e+22 1.182358e+23 1.303201e+23 1.394617e+23 1.248754e+23
[23,] 2.205037e+22 2.722583e+22 3.000906e+22 3.211328e+22 2.875290e+22
[24,] 1.070069e+23 1.321219e+23 1.456234e+23 1.558413e+23 1.395476e+23
[25,] 6.945050e+22 8.575097e+22 9.451462e+22 1.011453e+23 9.056797e+22
[26,] 6.224332e+22 7.685235e+22 8.470769e+22 9.064884e+22 8.116618e+22
[27,] 7.685235e+22 9.489027e+22 1.045894e+23 1.119249e+23 1.002163e+23
[28,] 8.470769e+22 1.045894e+23 1.152808e+23 1.233650e+23 1.104574e+23
[29,] 9.064884e+22 1.119249e+23 1.233650e+23 1.320176e+23 1.182077e+23
[30,] 8.116618e+22 1.002163e+23 1.104574e+23 1.182077e+23 1.058484e+23